Magma V2.19-8 Tue Aug 20 2013 16:16:55 on localhost [Seed = 3718004993] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1166 geometric_solution 5.04120045 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.799048150532 0.373762491027 0 2 3 0 3201 0132 0132 0132 0 0 0 0 0 0 1 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.824376650493 0.982416300370 4 1 3 5 0132 0132 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.062931339794 0.406210737879 2 5 6 1 2031 2103 0132 0132 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567436495284 0.403371321997 2 6 4 4 0132 3201 1230 3012 0 0 0 0 0 -1 1 0 0 0 1 -1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.241604388503 1.514394598285 6 3 2 6 1023 2103 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.689076448476 0.636794463563 5 5 4 3 3012 1023 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.264382463359 0.527929445164 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_1'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0101_3'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_5'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_5, c_0101_0, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 73020946871533901/769575119415717888*c_0101_4^10 + 255323733263579777/384787559707858944*c_0101_4^9 + 29099330497732217/96196889926964736*c_0101_4^8 + 2191339570126965745/384787559707858944*c_0101_4^7 - 5580000076040254609/384787559707858944*c_0101_4^6 - 27146420278020723865/769575119415717888*c_0101_4^5 - 1682149138736453731/384787559707858944*c_0101_4^4 + 2443239229585719223/36646434257891328*c_0101_4^3 + 30484130089551064187/769575119415717888*c_0101_4^2 - 718770316459419983/32065629975654912*c_0101_4 - 497028768095960953/21377086650436608, c_0011_0 - 1, c_0011_1 + 1131809485559/47716711273296*c_0101_4^10 - 4029353197475/23858355636648*c_0101_4^9 - 334767410825/5964588909162*c_0101_4^8 - 33670576862779/23858355636648*c_0101_4^7 + 92357971095931/23858355636648*c_0101_4^6 + 403365117216379/47716711273296*c_0101_4^5 + 6805373300569/23858355636648*c_0101_4^4 - 297154865405251/15905570424432*c_0101_4^3 - 475044355188977/47716711273296*c_0101_4^2 + 14633298579533/1988196303054*c_0101_4 + 10766015353759/1325464202036, c_0011_3 + 445091072435/11929177818324*c_0101_4^10 - 790844309167/2982294454581*c_0101_4^9 - 552871556519/5964588909162*c_0101_4^8 - 6568121322410/2982294454581*c_0101_4^7 + 17814843885998/2982294454581*c_0101_4^6 + 160519360872349/11929177818324*c_0101_4^5 - 1808981889329/5964588909162*c_0101_4^4 - 110362334695675/3976392606108*c_0101_4^3 - 162635123097611/11929177818324*c_0101_4^2 + 11263538491324/994098151527*c_0101_4 + 3352021733917/331366050509, c_0011_5 - 1094935357/1325464202036*c_0101_4^10 + 8940242323/1325464202036*c_0101_4^9 - 6554393373/1325464202036*c_0101_4^8 + 71857473069/1325464202036*c_0101_4^7 - 262978367521/1325464202036*c_0101_4^6 - 68434729193/662732101018*c_0101_4^5 + 45006789767/662732101018*c_0101_4^4 + 1202711533885/1325464202036*c_0101_4^3 + 19093504109/662732101018*c_0101_4^2 - 181326146189/331366050509*c_0101_4 + 138824917578/331366050509, c_0101_0 - 19922513144/2982294454581*c_0101_4^10 + 579794623747/11929177818324*c_0101_4^9 + 48385596029/5964588909162*c_0101_4^8 + 2390514239299/5964588909162*c_0101_4^7 - 3512899821311/2982294454581*c_0101_4^6 - 6551653507354/2982294454581*c_0101_4^5 + 327285382741/11929177818324*c_0101_4^4 + 5813740436729/994098151527*c_0101_4^3 + 37894590052571/11929177818324*c_0101_4^2 - 9358648091915/3976392606108*c_0101_4 - 2509889787823/662732101018, c_0101_3 + 872093988505/23858355636648*c_0101_4^10 - 1602895936451/5964588909162*c_0101_4^9 - 214799256463/11929177818324*c_0101_4^8 - 6594638520395/2982294454581*c_0101_4^7 + 19185895488203/2982294454581*c_0101_4^6 + 267402535378127/23858355636648*c_0101_4^5 - 17744496770833/11929177818324*c_0101_4^4 - 202252332800345/7952785212216*c_0101_4^3 - 235233226487053/23858355636648*c_0101_4^2 + 9685157190355/994098151527*c_0101_4 + 5902091190479/662732101018, c_0101_4^11 - 8*c_0101_4^10 + 4*c_0101_4^9 - 58*c_0101_4^8 + 214*c_0101_4^7 + 209*c_0101_4^6 - 296*c_0101_4^5 - 723*c_0101_4^4 + 251*c_0101_4^3 + 570*c_0101_4^2 + 36*c_0101_4 - 216 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB